Question

In the given figure, PS I QR, SP I MN
and MPQ = NPR

PROVE THAT ∆PQS COGRENT
∆PRS​

Answer 1

Answer:

ur ans is

Step-by-step explanation:

∵∠QPM=∠RPM

In ΔPNQ

∠QPN=90

∘

−∠Q

In ΔPNR

∠RPN=90

∘

−∠R

∠QPM=∠RPM

⇒∠QPN+∠MPN=∠RPN−∠MPN

⇒2∠MPN=∠RPN−∠QPN

⇒2∠MPN=(90

∘

−∠R)−(90

∘

−∠)

⇒∠MPN=

2

1

(∠Q−∠R) (proved)

solution